If the vectors `overset(to)(a) , overset(to)(b) " and " overset(to)( c)` from the sides BC,CA and AB respectively of a`DeltaABC` then

If the vectors bara, barb and barc from the sides BC, CA and AB, respectively, of DeltaABC , then

Let overset(to)(a) , overset(to)(b) " and " overset(to)(c ) be three vectors having magnitudes 1 , and 2 respectively . If overset(to)(a) xx (overet(to)(a) xx overset(to)(c ) ) + overset(to)(b) = overset(to)(0) then the actue angle between overset(to)(a) " and " overset(to)(c ) is ......

Let the vectors overset(to)(a), overset(to)(b), overset(to)( c) " and " overset(to)(d) be such that (overset(to)(a) xx overset(to)(b)) xx ( overset(to)(c ) xx overset(to)(d)) = overset(to)(0) . " If " P_(1) " and " P_(2) are planes determined by the pairs of vectors overset(to)(a) , overset(to)(b) " and " oerset(to)(c ) , overset(to)(d) respectively then the angle between P_(1) " and "P_(2) is

For any three vectors overset(to)(a) , overset(to)(b) and overset(to) ( c ) , prove that vectors overset(to)(a) - overset(to)(b) , overset(to)(b) - overset(to) ( c), overset(to)(c) - overset(to)(a) are coplanar.

For any three vectors overset(to)(a), overset(to)(b) " and " overset(to)(C ) (overset(to)(a) - overset(to)(b)). {(overset(to)(b)-overset(to)(c))xx(overset(to)(c)-overset(to)(a))} = 2overset(to)(a).(overset(to)(b)xx overset(to)(c))

For any three vectors overset(to)(a), overset(to)(b) " and " overset(to)(C ) (overset(to)(a) - overset(to)(b)). {(overset(to)(b)-overset(to)(c))xx(overset(to)(c)-overset(to)(a))} = 2overset(to)(a).(overset(to)(b)xx overset(to)(c))

Let overset(to)(a) , overset(to)(b) " and " overset(to)( c) be three non-zero vectors such that no two of them are collinear and (overset(to)(a) xx overset(to)(b)) xx overset(to)( c) = (1)/(3) |overset(to)(b)||overset(to)(c )|overset(to)(a). If 0 is the angle between vectors overset(to)(b) " and " overset(to)(c ) then a value of sin 0 is

Let overset(to)(a) , overset(to)(b) " and " overset(to)( c) be three non-zero vectors such that no two of them are collinear and (overset(to)(a) xx overset(to)(b)) xx overset(to)( c) = (1)/(3) |overset(to)(b)||overset(to)(c )|overset(to)(a). If 0 is the angle between vectors overset(to)(b) " and " overset(to)(c ) then a value of sin 0 is